Scaling self-similar formulation of the string equations of the hermitian one-matrix model

The string equation appearing in the double scaling limit of the Hermitian one–matrix model, which corresponds to a Galilean self–similar condition for the KdV hierarchy, is reformulated as a scaling self–similar condition for the Ur–KdV hierarchy. A non– scaling limit analysis of the one–matrix mod...

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Detalles Bibliográficos
Autor: Mañas Baena, Manuel Enrique
Tipo de recurso: artículo
Fecha de publicación:1993
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59706
Acceso en línea:https://hdl.handle.net/20.500.14352/59706
Access Level:acceso abierto
Palabra clave:51-73
2-Dimensional quantum-Gravity
Física-Modelos matemáticos
Física matemática
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spelling Scaling self-similar formulation of the string equations of the hermitian one-matrix modelMañas Baena, Manuel Enrique51-732-Dimensional quantum-GravityFísica-Modelos matemáticosFísica matemáticaThe string equation appearing in the double scaling limit of the Hermitian one–matrix model, which corresponds to a Galilean self–similar condition for the KdV hierarchy, is reformulated as a scaling self–similar condition for the Ur–KdV hierarchy. A non– scaling limit analysis of the one–matrix model has led to the complexified NLS hierarchy and a string equation. We show that this corresponds to the Galilean self– similarity condition for the AKNS hierarchy and also its equivalence to a scaling self– similar condition for the Heisenberg ferromagnet hierarchy.Elsevier Science BVUniversidad Complutense de Madrid19931993-11-1119931993-11-11journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/59706reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/597062026-06-02T12:44:21Z
dc.title.none.fl_str_mv Scaling self-similar formulation of the string equations of the hermitian one-matrix model
title Scaling self-similar formulation of the string equations of the hermitian one-matrix model
spellingShingle Scaling self-similar formulation of the string equations of the hermitian one-matrix model
Mañas Baena, Manuel Enrique
51-73
2-Dimensional quantum-Gravity
Física-Modelos matemáticos
Física matemática
title_short Scaling self-similar formulation of the string equations of the hermitian one-matrix model
title_full Scaling self-similar formulation of the string equations of the hermitian one-matrix model
title_fullStr Scaling self-similar formulation of the string equations of the hermitian one-matrix model
title_full_unstemmed Scaling self-similar formulation of the string equations of the hermitian one-matrix model
title_sort Scaling self-similar formulation of the string equations of the hermitian one-matrix model
dc.creator.none.fl_str_mv Mañas Baena, Manuel Enrique
author Mañas Baena, Manuel Enrique
author_facet Mañas Baena, Manuel Enrique
author_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-73
2-Dimensional quantum-Gravity
Física-Modelos matemáticos
Física matemática
topic 51-73
2-Dimensional quantum-Gravity
Física-Modelos matemáticos
Física matemática
description The string equation appearing in the double scaling limit of the Hermitian one–matrix model, which corresponds to a Galilean self–similar condition for the KdV hierarchy, is reformulated as a scaling self–similar condition for the Ur–KdV hierarchy. A non– scaling limit analysis of the one–matrix model has led to the complexified NLS hierarchy and a string equation. We show that this corresponds to the Galilean self– similarity condition for the AKNS hierarchy and also its equivalence to a scaling self– similar condition for the Heisenberg ferromagnet hierarchy.
publishDate 1993
dc.date.none.fl_str_mv 1993
1993-11-11
1993
1993-11-11
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/59706
url https://hdl.handle.net/20.500.14352/59706
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier Science BV
publisher.none.fl_str_mv Elsevier Science BV
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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